To add, if one checks the use of supremacy as in "air supremacy" (https://en.wikipedia.org/wiki/Air_supremacy):
- it makes sense to speak of "supremacy" rather than "superiority" (see
the distinction there), if we really believe quantum computers will
greatly outperform classical computers;
- besides the considerations above, it is much better to say "quantum computational supremacy" rather
than "quantum supremacy" [maybe Google will have "quantum
supremacy" on IBM, or the other way around, depending on the
capabilities of their quantum computers; who knows :-) ]
To add, if one checks the use of supremacy as in "air supremacy" (https://en.wikipedia.org/wiki/Air_supremacy):
- it makes sense to speak of "supremacy" rather than "superiority" (see
the distinction there), if we really believe quantum computers will
greatly outperform classical computers;
- besides the considerations above, it is much better to say "quantum computational supremacy" rather
than "quantum supremacy" [maybe Google will have "quantum
supremacy" on Microsoft, or the other way around, depending on the
capabilities of their quantum computers; who knows :-) ]